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Unformatted text preview: Checklist for Quiz 1 Andrei Jorza October 2, 2009 The purpose of this checklist is to give you a brief overview of what happened in class until now and what kinds of things you might expect for the first take- home quiz. 1 Vectors 1. Representation as ( x 1 , . . . , x n ) and the standard basis. 2. Vector operations (+,- , scalar multiplication). 3. Inner (dot) product and length. 4. Angles. 5. Vector inequalities (Cauchy-Schwarz and the triangle inequality). 6. When two vectors are perpendicular. 7. Unit vectors and how to make a vector into a unit vector (renormalization). 8. Orthogonal projections of one vector on another. 9. Decomposition of a vector as a linear combination of two other vectors. 2 Matrices and Determinants 1. What matrices are and how to add, subtract and multiply them. 2. Determinants 2x2 and 3x3 and how to compute them. 3. Properties of the determinant (swap two rows etc)....
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